/*

AutoDock-GPU, an OpenCL implementation of AutoDock 4.2 running a Lamarckian Genetic Algorithm
Copyright (C) 2017 TU Darmstadt, Embedded Systems and Applications Group, Germany. All rights reserved.
For some of the code, Copyright (C) 2019 Computational Structural Biology Center, the Scripps Research Institute.

AutoDock is a Trade Mark of the Scripps Research Institute.

This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.

This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
Lesser General Public License for more details.

You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA

*/


/*
Gradient corrections
The corrections for dE/d_phi depend on two variables: rotangle and theta.
The correction for dE/d_theta depends on a single variable: rotangle.

These arrays are passed to constant device on device.
*/

/*const*/ float angle [1000] = {
         3.14159265e-03f,   9.42477796e-03f,   1.57079633e-02f,
         2.19911486e-02f,   2.82743339e-02f,   3.45575192e-02f,
         4.08407045e-02f,   4.71238898e-02f,   5.34070751e-02f,
         5.96902604e-02f,   6.59734457e-02f,   7.22566310e-02f,
         7.85398163e-02f,   8.48230016e-02f,   9.11061870e-02f,
         9.73893723e-02f,   1.03672558e-01f,   1.09955743e-01f,
         1.16238928e-01f,   1.22522113e-01f,   1.28805299e-01f,
         1.35088484e-01f,   1.41371669e-01f,   1.47654855e-01f,
         1.53938040e-01f,   1.60221225e-01f,   1.66504411e-01f,
         1.72787596e-01f,   1.79070781e-01f,   1.85353967e-01f,
         1.91637152e-01f,   1.97920337e-01f,   2.04203522e-01f,
         2.10486708e-01f,   2.16769893e-01f,   2.23053078e-01f,
         2.29336264e-01f,   2.35619449e-01f,   2.41902634e-01f,
         2.48185820e-01f,   2.54469005e-01f,   2.60752190e-01f,
         2.67035376e-01f,   2.73318561e-01f,   2.79601746e-01f,
         2.85884931e-01f,   2.92168117e-01f,   2.98451302e-01f,
         3.04734487e-01f,   3.11017673e-01f,   3.17300858e-01f,
         3.23584043e-01f,   3.29867229e-01f,   3.36150414e-01f,
         3.42433599e-01f,   3.48716785e-01f,   3.54999970e-01f,
         3.61283155e-01f,   3.67566340e-01f,   3.73849526e-01f,
         3.80132711e-01f,   3.86415896e-01f,   3.92699082e-01f,
         3.98982267e-01f,   4.05265452e-01f,   4.11548638e-01f,
         4.17831823e-01f,   4.24115008e-01f,   4.30398194e-01f,
         4.36681379e-01f,   4.42964564e-01f,   4.49247749e-01f,
         4.55530935e-01f,   4.61814120e-01f,   4.68097305e-01f,
         4.74380491e-01f,   4.80663676e-01f,   4.86946861e-01f,
         4.93230047e-01f,   4.99513232e-01f,   5.05796417e-01f,
         5.12079603e-01f,   5.18362788e-01f,   5.24645973e-01f,
         5.30929158e-01f,   5.37212344e-01f,   5.43495529e-01f,
         5.49778714e-01f,   5.56061900e-01f,   5.62345085e-01f,
         5.68628270e-01f,   5.74911456e-01f,   5.81194641e-01f,
         5.87477826e-01f,   5.93761012e-01f,   6.00044197e-01f,
         6.06327382e-01f,   6.12610567e-01f,   6.18893753e-01f,
         6.25176938e-01f,   6.31460123e-01f,   6.37743309e-01f,
         6.44026494e-01f,   6.50309679e-01f,   6.56592865e-01f,
         6.62876050e-01f,   6.69159235e-01f,   6.75442421e-01f,
         6.81725606e-01f,   6.88008791e-01f,   6.94291976e-01f,
         7.00575162e-01f,   7.06858347e-01f,   7.13141532e-01f,
         7.19424718e-01f,   7.25707903e-01f,   7.31991088e-01f,
         7.38274274e-01f,   7.44557459e-01f,   7.50840644e-01f,
         7.57123830e-01f,   7.63407015e-01f,   7.69690200e-01f,
         7.75973385e-01f,   7.82256571e-01f,   7.88539756e-01f,
         7.94822941e-01f,   8.01106127e-01f,   8.07389312e-01f,
         8.13672497e-01f,   8.19955683e-01f,   8.26238868e-01f,
         8.32522053e-01f,   8.38805239e-01f,   8.45088424e-01f,
         8.51371609e-01f,   8.57654794e-01f,   8.63937980e-01f,
         8.70221165e-01f,   8.76504350e-01f,   8.82787536e-01f,
         8.89070721e-01f,   8.95353906e-01f,   9.01637092e-01f,
         9.07920277e-01f,   9.14203462e-01f,   9.20486648e-01f,
         9.26769833e-01f,   9.33053018e-01f,   9.39336203e-01f,
         9.45619389e-01f,   9.51902574e-01f,   9.58185759e-01f,
         9.64468945e-01f,   9.70752130e-01f,   9.77035315e-01f,
         9.83318501e-01f,   9.89601686e-01f,   9.95884871e-01f,
         1.00216806e+00f,   1.00845124e+00f,   1.01473443e+00f,
         1.02101761e+00f,   1.02730080e+00f,   1.03358398e+00f,
         1.03986717e+00f,   1.04615035e+00f,   1.05243354e+00f,
         1.05871672e+00f,   1.06499991e+00f,   1.07128309e+00f,
         1.07756628e+00f,   1.08384947e+00f,   1.09013265e+00f,
         1.09641584e+00f,   1.10269902e+00f,   1.10898221e+00f,
         1.11526539e+00f,   1.12154858e+00f,   1.12783176e+00f,
         1.13411495e+00f,   1.14039813e+00f,   1.14668132e+00f,
         1.15296450e+00f,   1.15924769e+00f,   1.16553087e+00f,
         1.17181406e+00f,   1.17809725e+00f,   1.18438043e+00f,
         1.19066362e+00f,   1.19694680e+00f,   1.20322999e+00f,
         1.20951317e+00f,   1.21579636e+00f,   1.22207954e+00f,
         1.22836273e+00f,   1.23464591e+00f,   1.24092910e+00f,
         1.24721228e+00f,   1.25349547e+00f,   1.25977865e+00f,
         1.26606184e+00f,   1.27234502e+00f,   1.27862821e+00f,
         1.28491140e+00f,   1.29119458e+00f,   1.29747777e+00f,
         1.30376095e+00f,   1.31004414e+00f,   1.31632732e+00f,
         1.32261051e+00f,   1.32889369e+00f,   1.33517688e+00f,
         1.34146006e+00f,   1.34774325e+00f,   1.35402643e+00f,
         1.36030962e+00f,   1.36659280e+00f,   1.37287599e+00f,
         1.37915917e+00f,   1.38544236e+00f,   1.39172555e+00f,
         1.39800873e+00f,   1.40429192e+00f,   1.41057510e+00f,
         1.41685829e+00f,   1.42314147e+00f,   1.42942466e+00f,
         1.43570784e+00f,   1.44199103e+00f,   1.44827421e+00f,
         1.45455740e+00f,   1.46084058e+00f,   1.46712377e+00f,
         1.47340695e+00f,   1.47969014e+00f,   1.48597333e+00f,
         1.49225651e+00f,   1.49853970e+00f,   1.50482288e+00f,
         1.51110607e+00f,   1.51738925e+00f,   1.52367244e+00f,
         1.52995562e+00f,   1.53623881e+00f,   1.54252199e+00f,
         1.54880518e+00f,   1.55508836e+00f,   1.56137155e+00f,
         1.56765473e+00f,   1.57393792e+00f,   1.58022110e+00f,
         1.58650429e+00f,   1.59278748e+00f,   1.59907066e+00f,
         1.60535385e+00f,   1.61163703e+00f,   1.61792022e+00f,
         1.62420340e+00f,   1.63048659e+00f,   1.63676977e+00f,
         1.64305296e+00f,   1.64933614e+00f,   1.65561933e+00f,
         1.66190251e+00f,   1.66818570e+00f,   1.67446888e+00f,
         1.68075207e+00f,   1.68703525e+00f,   1.69331844e+00f,
         1.69960163e+00f,   1.70588481e+00f,   1.71216800e+00f,
         1.71845118e+00f,   1.72473437e+00f,   1.73101755e+00f,
         1.73730074e+00f,   1.74358392e+00f,   1.74986711e+00f,
         1.75615029e+00f,   1.76243348e+00f,   1.76871666e+00f,
         1.77499985e+00f,   1.78128303e+00f,   1.78756622e+00f,
         1.79384941e+00f,   1.80013259e+00f,   1.80641578e+00f,
         1.81269896e+00f,   1.81898215e+00f,   1.82526533e+00f,
         1.83154852e+00f,   1.83783170e+00f,   1.84411489e+00f,
         1.85039807e+00f,   1.85668126e+00f,   1.86296444e+00f,
         1.86924763e+00f,   1.87553081e+00f,   1.88181400e+00f,
         1.88809718e+00f,   1.89438037e+00f,   1.90066356e+00f,
         1.90694674e+00f,   1.91322993e+00f,   1.91951311e+00f,
         1.92579630e+00f,   1.93207948e+00f,   1.93836267e+00f,
         1.94464585e+00f,   1.95092904e+00f,   1.95721222e+00f,
         1.96349541e+00f,   1.96977859e+00f,   1.97606178e+00f,
         1.98234496e+00f,   1.98862815e+00f,   1.99491134e+00f,
         2.00119452e+00f,   2.00747771e+00f,   2.01376089e+00f,
         2.02004408e+00f,   2.02632726e+00f,   2.03261045e+00f,
         2.03889363e+00f,   2.04517682e+00f,   2.05146000e+00f,
         2.05774319e+00f,   2.06402637e+00f,   2.07030956e+00f,
         2.07659274e+00f,   2.08287593e+00f,   2.08915911e+00f,
         2.09544230e+00f,   2.10172549e+00f,   2.10800867e+00f,
         2.11429186e+00f,   2.12057504e+00f,   2.12685823e+00f,
         2.13314141e+00f,   2.13942460e+00f,   2.14570778e+00f,
         2.15199097e+00f,   2.15827415e+00f,   2.16455734e+00f,
         2.17084052e+00f,   2.17712371e+00f,   2.18340689e+00f,
         2.18969008e+00f,   2.19597326e+00f,   2.20225645e+00f,
         2.20853964e+00f,   2.21482282e+00f,   2.22110601e+00f,
         2.22738919e+00f,   2.23367238e+00f,   2.23995556e+00f,
         2.24623875e+00f,   2.25252193e+00f,   2.25880512e+00f,
         2.26508830e+00f,   2.27137149e+00f,   2.27765467e+00f,
         2.28393786e+00f,   2.29022104e+00f,   2.29650423e+00f,
         2.30278742e+00f,   2.30907060e+00f,   2.31535379e+00f,
         2.32163697e+00f,   2.32792016e+00f,   2.33420334e+00f,
         2.34048653e+00f,   2.34676971e+00f,   2.35305290e+00f,
         2.35933608e+00f,   2.36561927e+00f,   2.37190245e+00f,
         2.37818564e+00f,   2.38446882e+00f,   2.39075201e+00f,
         2.39703519e+00f,   2.40331838e+00f,   2.40960157e+00f,
         2.41588475e+00f,   2.42216794e+00f,   2.42845112e+00f,
         2.43473431e+00f,   2.44101749e+00f,   2.44730068e+00f,
         2.45358386e+00f,   2.45986705e+00f,   2.46615023e+00f,
         2.47243342e+00f,   2.47871660e+00f,   2.48499979e+00f,
         2.49128297e+00f,   2.49756616e+00f,   2.50384934e+00f,
         2.51013253e+00f,   2.51641572e+00f,   2.52269890e+00f,
         2.52898209e+00f,   2.53526527e+00f,   2.54154846e+00f,
         2.54783164e+00f,   2.55411483e+00f,   2.56039801e+00f,
         2.56668120e+00f,   2.57296438e+00f,   2.57924757e+00f,
         2.58553075e+00f,   2.59181394e+00f,   2.59809712e+00f,
         2.60438031e+00f,   2.61066350e+00f,   2.61694668e+00f,
         2.62322987e+00f,   2.62951305e+00f,   2.63579624e+00f,
         2.64207942e+00f,   2.64836261e+00f,   2.65464579e+00f,
         2.66092898e+00f,   2.66721216e+00f,   2.67349535e+00f,
         2.67977853e+00f,   2.68606172e+00f,   2.69234490e+00f,
         2.69862809e+00f,   2.70491127e+00f,   2.71119446e+00f,
         2.71747765e+00f,   2.72376083e+00f,   2.73004402e+00f,
         2.73632720e+00f,   2.74261039e+00f,   2.74889357e+00f,
         2.75517676e+00f,   2.76145994e+00f,   2.76774313e+00f,
         2.77402631e+00f,   2.78030950e+00f,   2.78659268e+00f,
         2.79287587e+00f,   2.79915905e+00f,   2.80544224e+00f,
         2.81172542e+00f,   2.81800861e+00f,   2.82429180e+00f,
         2.83057498e+00f,   2.83685817e+00f,   2.84314135e+00f,
         2.84942454e+00f,   2.85570772e+00f,   2.86199091e+00f,
         2.86827409e+00f,   2.87455728e+00f,   2.88084046e+00f,
         2.88712365e+00f,   2.89340683e+00f,   2.89969002e+00f,
         2.90597320e+00f,   2.91225639e+00f,   2.91853958e+00f,
         2.92482276e+00f,   2.93110595e+00f,   2.93738913e+00f,
         2.94367232e+00f,   2.94995550e+00f,   2.95623869e+00f,
         2.96252187e+00f,   2.96880506e+00f,   2.97508824e+00f,
         2.98137143e+00f,   2.98765461e+00f,   2.99393780e+00f,
         3.00022098e+00f,   3.00650417e+00f,   3.01278735e+00f,
         3.01907054e+00f,   3.02535373e+00f,   3.03163691e+00f,
         3.03792010e+00f,   3.04420328e+00f,   3.05048647e+00f,
         3.05676965e+00f,   3.06305284e+00f,   3.06933602e+00f,
         3.07561921e+00f,   3.08190239e+00f,   3.08818558e+00f,
         3.09446876e+00f,   3.10075195e+00f,   3.10703513e+00f,
         3.11331832e+00f,   3.11960151e+00f,   3.12588469e+00f,
         3.13216788e+00f,   3.13845106e+00f,   3.14473425e+00f,
         3.15101743e+00f,   3.15730062e+00f,   3.16358380e+00f,
         3.16986699e+00f,   3.17615017e+00f,   3.18243336e+00f,
         3.18871654e+00f,   3.19499973e+00f,   3.20128291e+00f,
         3.20756610e+00f,   3.21384928e+00f,   3.22013247e+00f,
         3.22641566e+00f,   3.23269884e+00f,   3.23898203e+00f,
         3.24526521e+00f,   3.25154840e+00f,   3.25783158e+00f,
         3.26411477e+00f,   3.27039795e+00f,   3.27668114e+00f,
         3.28296432e+00f,   3.28924751e+00f,   3.29553069e+00f,
         3.30181388e+00f,   3.30809706e+00f,   3.31438025e+00f,
         3.32066343e+00f,   3.32694662e+00f,   3.33322981e+00f,
         3.33951299e+00f,   3.34579618e+00f,   3.35207936e+00f,
         3.35836255e+00f,   3.36464573e+00f,   3.37092892e+00f,
         3.37721210e+00f,   3.38349529e+00f,   3.38977847e+00f,
         3.39606166e+00f,   3.40234484e+00f,   3.40862803e+00f,
         3.41491121e+00f,   3.42119440e+00f,   3.42747759e+00f,
         3.43376077e+00f,   3.44004396e+00f,   3.44632714e+00f,
         3.45261033e+00f,   3.45889351e+00f,   3.46517670e+00f,
         3.47145988e+00f,   3.47774307e+00f,   3.48402625e+00f,
         3.49030944e+00f,   3.49659262e+00f,   3.50287581e+00f,
         3.50915899e+00f,   3.51544218e+00f,   3.52172536e+00f,
         3.52800855e+00f,   3.53429174e+00f,   3.54057492e+00f,
         3.54685811e+00f,   3.55314129e+00f,   3.55942448e+00f,
         3.56570766e+00f,   3.57199085e+00f,   3.57827403e+00f,
         3.58455722e+00f,   3.59084040e+00f,   3.59712359e+00f,
         3.60340677e+00f,   3.60968996e+00f,   3.61597314e+00f,
         3.62225633e+00f,   3.62853951e+00f,   3.63482270e+00f,
         3.64110589e+00f,   3.64738907e+00f,   3.65367226e+00f,
         3.65995544e+00f,   3.66623863e+00f,   3.67252181e+00f,
         3.67880500e+00f,   3.68508818e+00f,   3.69137137e+00f,
         3.69765455e+00f,   3.70393774e+00f,   3.71022092e+00f,
         3.71650411e+00f,   3.72278729e+00f,   3.72907048e+00f,
         3.73535367e+00f,   3.74163685e+00f,   3.74792004e+00f,
         3.75420322e+00f,   3.76048641e+00f,   3.76676959e+00f,
         3.77305278e+00f,   3.77933596e+00f,   3.78561915e+00f,
         3.79190233e+00f,   3.79818552e+00f,   3.80446870e+00f,
         3.81075189e+00f,   3.81703507e+00f,   3.82331826e+00f,
         3.82960144e+00f,   3.83588463e+00f,   3.84216782e+00f,
         3.84845100e+00f,   3.85473419e+00f,   3.86101737e+00f,
         3.86730056e+00f,   3.87358374e+00f,   3.87986693e+00f,
         3.88615011e+00f,   3.89243330e+00f,   3.89871648e+00f,
         3.90499967e+00f,   3.91128285e+00f,   3.91756604e+00f,
         3.92384922e+00f,   3.93013241e+00f,   3.93641559e+00f,
         3.94269878e+00f,   3.94898197e+00f,   3.95526515e+00f,
         3.96154834e+00f,   3.96783152e+00f,   3.97411471e+00f,
         3.98039789e+00f,   3.98668108e+00f,   3.99296426e+00f,
         3.99924745e+00f,   4.00553063e+00f,   4.01181382e+00f,
         4.01809700e+00f,   4.02438019e+00f,   4.03066337e+00f,
         4.03694656e+00f,   4.04322975e+00f,   4.04951293e+00f,
         4.05579612e+00f,   4.06207930e+00f,   4.06836249e+00f,
         4.07464567e+00f,   4.08092886e+00f,   4.08721204e+00f,
         4.09349523e+00f,   4.09977841e+00f,   4.10606160e+00f,
         4.11234478e+00f,   4.11862797e+00f,   4.12491115e+00f,
         4.13119434e+00f,   4.13747752e+00f,   4.14376071e+00f,
         4.15004390e+00f,   4.15632708e+00f,   4.16261027e+00f,
         4.16889345e+00f,   4.17517664e+00f,   4.18145982e+00f,
         4.18774301e+00f,   4.19402619e+00f,   4.20030938e+00f,
         4.20659256e+00f,   4.21287575e+00f,   4.21915893e+00f,
         4.22544212e+00f,   4.23172530e+00f,   4.23800849e+00f,
         4.24429167e+00f,   4.25057486e+00f,   4.25685805e+00f,
         4.26314123e+00f,   4.26942442e+00f,   4.27570760e+00f,
         4.28199079e+00f,   4.28827397e+00f,   4.29455716e+00f,
         4.30084034e+00f,   4.30712353e+00f,   4.31340671e+00f,
         4.31968990e+00f,   4.32597308e+00f,   4.33225627e+00f,
         4.33853945e+00f,   4.34482264e+00f,   4.35110583e+00f,
         4.35738901e+00f,   4.36367220e+00f,   4.36995538e+00f,
         4.37623857e+00f,   4.38252175e+00f,   4.38880494e+00f,
         4.39508812e+00f,   4.40137131e+00f,   4.40765449e+00f,
         4.41393768e+00f,   4.42022086e+00f,   4.42650405e+00f,
         4.43278723e+00f,   4.43907042e+00f,   4.44535360e+00f,
         4.45163679e+00f,   4.45791998e+00f,   4.46420316e+00f,
         4.47048635e+00f,   4.47676953e+00f,   4.48305272e+00f,
         4.48933590e+00f,   4.49561909e+00f,   4.50190227e+00f,
         4.50818546e+00f,   4.51446864e+00f,   4.52075183e+00f,
         4.52703501e+00f,   4.53331820e+00f,   4.53960138e+00f,
         4.54588457e+00f,   4.55216776e+00f,   4.55845094e+00f,
         4.56473413e+00f,   4.57101731e+00f,   4.57730050e+00f,
         4.58358368e+00f,   4.58986687e+00f,   4.59615005e+00f,
         4.60243324e+00f,   4.60871642e+00f,   4.61499961e+00f,
         4.62128279e+00f,   4.62756598e+00f,   4.63384916e+00f,
         4.64013235e+00f,   4.64641553e+00f,   4.65269872e+00f,
         4.65898191e+00f,   4.66526509e+00f,   4.67154828e+00f,
         4.67783146e+00f,   4.68411465e+00f,   4.69039783e+00f,
         4.69668102e+00f,   4.70296420e+00f,   4.70924739e+00f,
         4.71553057e+00f,   4.72181376e+00f,   4.72809694e+00f,
         4.73438013e+00f,   4.74066331e+00f,   4.74694650e+00f,
         4.75322968e+00f,   4.75951287e+00f,   4.76579606e+00f,
         4.77207924e+00f,   4.77836243e+00f,   4.78464561e+00f,
         4.79092880e+00f,   4.79721198e+00f,   4.80349517e+00f,
         4.80977835e+00f,   4.81606154e+00f,   4.82234472e+00f,
         4.82862791e+00f,   4.83491109e+00f,   4.84119428e+00f,
         4.84747746e+00f,   4.85376065e+00f,   4.86004384e+00f,
         4.86632702e+00f,   4.87261021e+00f,   4.87889339e+00f,
         4.88517658e+00f,   4.89145976e+00f,   4.89774295e+00f,
         4.90402613e+00f,   4.91030932e+00f,   4.91659250e+00f,
         4.92287569e+00f,   4.92915887e+00f,   4.93544206e+00f,
         4.94172524e+00f,   4.94800843e+00f,   4.95429161e+00f,
         4.96057480e+00f,   4.96685799e+00f,   4.97314117e+00f,
         4.97942436e+00f,   4.98570754e+00f,   4.99199073e+00f,
         4.99827391e+00f,   5.00455710e+00f,   5.01084028e+00f,
         5.01712347e+00f,   5.02340665e+00f,   5.02968984e+00f,
         5.03597302e+00f,   5.04225621e+00f,   5.04853939e+00f,
         5.05482258e+00f,   5.06110576e+00f,   5.06738895e+00f,
         5.07367214e+00f,   5.07995532e+00f,   5.08623851e+00f,
         5.09252169e+00f,   5.09880488e+00f,   5.10508806e+00f,
         5.11137125e+00f,   5.11765443e+00f,   5.12393762e+00f,
         5.13022080e+00f,   5.13650399e+00f,   5.14278717e+00f,
         5.14907036e+00f,   5.15535354e+00f,   5.16163673e+00f,
         5.16791992e+00f,   5.17420310e+00f,   5.18048629e+00f,
         5.18676947e+00f,   5.19305266e+00f,   5.19933584e+00f,
         5.20561903e+00f,   5.21190221e+00f,   5.21818540e+00f,
         5.22446858e+00f,   5.23075177e+00f,   5.23703495e+00f,
         5.24331814e+00f,   5.24960132e+00f,   5.25588451e+00f,
         5.26216769e+00f,   5.26845088e+00f,   5.27473407e+00f,
         5.28101725e+00f,   5.28730044e+00f,   5.29358362e+00f,
         5.29986681e+00f,   5.30614999e+00f,   5.31243318e+00f,
         5.31871636e+00f,   5.32499955e+00f,   5.33128273e+00f,
         5.33756592e+00f,   5.34384910e+00f,   5.35013229e+00f,
         5.35641547e+00f,   5.36269866e+00f,   5.36898184e+00f,
         5.37526503e+00f,   5.38154822e+00f,   5.38783140e+00f,
         5.39411459e+00f,   5.40039777e+00f,   5.40668096e+00f,
         5.41296414e+00f,   5.41924733e+00f,   5.42553051e+00f,
         5.43181370e+00f,   5.43809688e+00f,   5.44438007e+00f,
         5.45066325e+00f,   5.45694644e+00f,   5.46322962e+00f,
         5.46951281e+00f,   5.47579600e+00f,   5.48207918e+00f,
         5.48836237e+00f,   5.49464555e+00f,   5.50092874e+00f,
         5.50721192e+00f,   5.51349511e+00f,   5.51977829e+00f,
         5.52606148e+00f,   5.53234466e+00f,   5.53862785e+00f,
         5.54491103e+00f,   5.55119422e+00f,   5.55747740e+00f,
         5.56376059e+00f,   5.57004377e+00f,   5.57632696e+00f,
         5.58261015e+00f,   5.58889333e+00f,   5.59517652e+00f,
         5.60145970e+00f,   5.60774289e+00f,   5.61402607e+00f,
         5.62030926e+00f,   5.62659244e+00f,   5.63287563e+00f,
         5.63915881e+00f,   5.64544200e+00f,   5.65172518e+00f,
         5.65800837e+00f,   5.66429155e+00f,   5.67057474e+00f,
         5.67685793e+00f,   5.68314111e+00f,   5.68942430e+00f,
         5.69570748e+00f,   5.70199067e+00f,   5.70827385e+00f,
         5.71455704e+00f,   5.72084022e+00f,   5.72712341e+00f,
         5.73340659e+00f,   5.73968978e+00f,   5.74597296e+00f,
         5.75225615e+00f,   5.75853933e+00f,   5.76482252e+00f,
         5.77110570e+00f,   5.77738889e+00f,   5.78367208e+00f,
         5.78995526e+00f,   5.79623845e+00f,   5.80252163e+00f,
         5.80880482e+00f,   5.81508800e+00f,   5.82137119e+00f,
         5.82765437e+00f,   5.83393756e+00f,   5.84022074e+00f,
         5.84650393e+00f,   5.85278711e+00f,   5.85907030e+00f,
         5.86535348e+00f,   5.87163667e+00f,   5.87791985e+00f,
         5.88420304e+00f,   5.89048623e+00f,   5.89676941e+00f,
         5.90305260e+00f,   5.90933578e+00f,   5.91561897e+00f,
         5.92190215e+00f,   5.92818534e+00f,   5.93446852e+00f,
         5.94075171e+00f,   5.94703489e+00f,   5.95331808e+00f,
         5.95960126e+00f,   5.96588445e+00f,   5.97216763e+00f,
         5.97845082e+00f,   5.98473401e+00f,   5.99101719e+00f,
         5.99730038e+00f,   6.00358356e+00f,   6.00986675e+00f,
         6.01614993e+00f,   6.02243312e+00f,   6.02871630e+00f,
         6.03499949e+00f,   6.04128267e+00f,   6.04756586e+00f,
         6.05384904e+00f,   6.06013223e+00f,   6.06641541e+00f,
         6.07269860e+00f,   6.07898178e+00f,   6.08526497e+00f,
         6.09154816e+00f,   6.09783134e+00f,   6.10411453e+00f,
         6.11039771e+00f,   6.11668090e+00f,   6.12296408e+00f,
         6.12924727e+00f,   6.13553045e+00f,   6.14181364e+00f,
         6.14809682e+00f,   6.15438001e+00f,   6.16066319e+00f,
         6.16694638e+00f,   6.17322956e+00f,   6.17951275e+00f,
         6.18579593e+00f,   6.19207912e+00f,   6.19836231e+00f,
         6.20464549e+00f,   6.21092868e+00f,   6.21721186e+00f,
         6.22349505e+00f,   6.22977823e+00f,   6.23606142e+00f,
         6.24234460e+00f,   6.24862779e+00f,   6.25491097e+00f,
         6.26119416e+00f,   6.26747734e+00f,   6.27376053e+00f,
         6.28004371e+00f};

/*const*/ float dependence_on_theta [1000] = {
         1.01328679e+05f,   1.12547638e+04f,   4.05232581e+03f,
         2.06779540e+03f,   1.25114454e+03f,   8.37717298e+02f,
         5.99884079e+02f,   4.50639506e+02f,   3.50909153e+02f,
         2.80987869e+02f,   2.30079555e+02f,   1.91865997e+02f,
         1.62447378e+02f,   1.39323295e+02f,   1.20810744e+02f,
         1.05768556e+02f,   9.33790456e+01f,   8.30488939e+01f,
         7.43478122e+01f,   6.69503661e+01f,   6.06086671e+01f,
         5.51328881e+01f,   5.03690865e+01f,   4.62009357e+01f,
         4.25334622e+01f,   3.92888692e+01f,   3.64046398e+01f,
         3.38293598e+01f,   3.15201220e+01f,   2.94418547e+01f,
         2.75646975e+01f,   2.58634663e+01f,   2.43169068e+01f,
         2.29068181e+01f,   2.16175522e+01f,   2.04357596e+01f,
         1.93497322e+01f,   1.83495933e+01f,   1.74262607e+01f,
         1.65721732e+01f,   1.57804920e+01f,   1.50454362e+01f,
         1.43619076e+01f,   1.37249896e+01f,   1.31302931e+01f,
         1.25744454e+01f,   1.20540522e+01f,   1.15662457e+01f,
         1.11083211e+01f,   1.06778297e+01f,   1.02725643e+01f,
         9.89095962e+00f,   9.53098292e+00f,   9.19091021e+00f,
         8.86941981e+00f,   8.56516420e+00f,   8.27683055e+00f,
         8.00351016e+00f,   7.74417395e+00f,   7.49783768e+00f,
         7.26358224e+00f,   7.04068327e+00f,   6.82843071e+00f,
         6.62617100e+00f,   6.43323563e+00f,   6.24910558e+00f,
         6.07322479e+00f,   5.90511845e+00f,   5.74435998e+00f,
         5.59054492e+00f,   5.44322874e+00f,   5.30207084e+00f,
         5.16671513e+00f,   5.03688962e+00f,   4.91229002e+00f,
         4.79262152e+00f,   4.67763433e+00f,   4.56708629e+00f,
         4.46074531e+00f,   4.35843392e+00f,   4.25994365e+00f,
         4.16507787e+00f,   4.07366131e+00f,   3.98555075e+00f,
         3.90055547e+00f,   3.81855434e+00f,   3.73939582e+00f,
         3.66296101e+00f,   3.58912508e+00f,   3.51775796e+00f,
         3.44877483e+00f,   3.38207528e+00f,   3.31755731e+00f,
         3.25512820e+00f,   3.19469147e+00f,   3.13617023e+00f,
         3.07947700e+00f,   3.02453649e+00f,   2.97128591e+00f,
         2.91966199e+00f,   2.86959943e+00f,   2.82103199e+00f,
         2.77390801e+00f,   2.72816702e+00f,   2.68374666e+00f,
         2.64059954e+00f,   2.59870176e+00f,   2.55800095e+00f,
         2.51844312e+00f,   2.47999224e+00f,   2.44260567e+00f,
         2.40624915e+00f,   2.37088649e+00f,   2.33648495e+00f,
         2.30300222e+00f,   2.27040763e+00f,   2.23868041e+00f,
         2.20778423e+00f,   2.17768903e+00f,   2.14837859e+00f,
         2.11981847e+00f,   2.09198790e+00f,   2.06486401e+00f,
         2.03842543e+00f,   2.01264338e+00f,   1.98751345e+00f,
         1.96300108e+00f,   1.93908987e+00f,   1.91576471e+00f,
         1.89300774e+00f,   1.87080063e+00f,   1.84912465e+00f,
         1.82796755e+00f,   1.80731332e+00f,   1.78714983e+00f,
         1.76745921e+00f,   1.74822437e+00f,   1.72944845e+00f,
         1.71110419e+00f,   1.69318232e+00f,   1.67567214e+00f,
         1.65856508e+00f,   1.64185374e+00f,   1.62550144e+00f,
         1.60952917e+00f,   1.59391742e+00f,   1.57865499e+00f,
         1.56373223e+00f,   1.54914103e+00f,   1.53487630e+00f,
         1.52092919e+00f,   1.50728597e+00f,   1.49394282e+00f,
         1.48088649e+00f,   1.46813113e+00f,   1.45564755e+00f,
         1.44343447e+00f,   1.43148805e+00f,   1.41979994e+00f,
         1.40836624e+00f,   1.39718117e+00f,   1.38623693e+00f,
         1.37552794e+00f,   1.36504952e+00f,   1.35479612e+00f,
         1.34476443e+00f,   1.33495009e+00f,   1.32534595e+00f,
         1.31595004e+00f,   1.30675442e+00f,   1.29775655e+00f,
         1.28895261e+00f,   1.28034123e+00f,   1.27191563e+00f,
         1.26367372e+00f,   1.25560738e+00f,   1.24771840e+00f,
         1.23999876e+00f,   1.23244970e+00f,   1.22506494e+00f,
         1.21784158e+00f,   1.21077672e+00f,   1.20386854e+00f,
         1.19711371e+00f,   1.19050870e+00f,   1.18405310e+00f,
         1.17774293e+00f,   1.17157442e+00f,   1.16554523e+00f,
         1.15965446e+00f,   1.15389859e+00f,   1.14827612e+00f,
         1.14278441e+00f,   1.13742036e+00f,   1.13218695e+00f,
         1.12707674e+00f,   1.12208979e+00f,   1.11722327e+00f,
         1.11247469e+00f,   1.10784488e+00f,   1.10333019e+00f,
         1.09893053e+00f,   1.09464302e+00f,   1.09046596e+00f,
         1.08639874e+00f,   1.08243974e+00f,   1.07858726e+00f,
         1.07484016e+00f,   1.07119683e+00f,   1.06765606e+00f,
         1.06421637e+00f,   1.06087710e+00f,   1.05763739e+00f,
         1.05449544e+00f,   1.05145051e+00f,   1.04850133e+00f,
         1.04564706e+00f,   1.04288669e+00f,   1.04021982e+00f,
         1.03764428e+00f,   1.03515979e+00f,   1.03276563e+00f,
         1.03046110e+00f,   1.02824533e+00f,   1.02611737e+00f,
         1.02407718e+00f,   1.02212363e+00f,   1.02025601e+00f,
         1.01847410e+00f,   1.01677680e+00f,   1.01516379e+00f,
         1.01363472e+00f,   1.01218899e+00f,   1.01082595e+00f,
         1.00954541e+00f,   1.00834692e+00f,   1.00723016e+00f,
         1.00619332e+00f,   1.00524261e+00f,   1.00436638e+00f,
         1.00357242e+00f,   1.00285864e+00f,   1.00222494e+00f,
         1.00167091e+00f,   1.00119567e+00f,   1.00080040e+00f,
         1.00048446e+00f,   1.00024750e+00f,   1.00008955e+00f,
         1.00001048e+00f,   1.00001075e+00f,   1.00008956e+00f,
         1.00024739e+00f,   1.00048461e+00f,   1.00080045e+00f,
         1.00119631e+00f,   1.00167001e+00f,   1.00222414e+00f,
         1.00285843e+00f,   1.00357191e+00f,   1.00436647e+00f,
         1.00524044e+00f,   1.00619454e+00f,   1.00722884e+00f,
         1.00834671e+00f,   1.00954521e+00f,   1.01082532e+00f,
         1.01218827e+00f,   1.01363405e+00f,   1.01516288e+00f,
         1.01677631e+00f,   1.01847395e+00f,   1.02025403e+00f,
         1.02212285e+00f,   1.02407617e+00f,   1.02611652e+00f,
         1.02824420e+00f,   1.03046001e+00f,   1.03276496e+00f,
         1.03515831e+00f,   1.03764436e+00f,   1.04022059e+00f,
         1.04288835e+00f,   1.04564966e+00f,   1.04850418e+00f,
         1.05145455e+00f,   1.05449808e+00f,   1.05764151e+00f,
         1.06087832e+00f,   1.06421675e+00f,   1.06765622e+00f,
         1.07119678e+00f,   1.07484016e+00f,   1.07858747e+00f,
         1.08243978e+00f,   1.08639907e+00f,   1.09046707e+00f,
         1.09464385e+00f,   1.09893094e+00f,   1.10333166e+00f,
         1.10784580e+00f,   1.11247538e+00f,   1.11722302e+00f,
         1.12208988e+00f,   1.12707828e+00f,   1.13218948e+00f,
         1.13742508e+00f,   1.14278683e+00f,   1.14827796e+00f,
         1.15389975e+00f,   1.15965467e+00f,   1.16554407e+00f,
         1.17157268e+00f,   1.17774064e+00f,   1.18405153e+00f,
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         7.43451605e+01f,   8.30480439e+01f,   9.33772297e+01f,
         1.05769037e+02f,   1.20807026e+02f,   1.39316052e+02f,
         1.62453632e+02f,   1.91872877e+02f,   2.30095034e+02f,
         2.80990232e+02f,   3.50914072e+02f,   4.50625046e+02f,
         5.99831916e+02f,   8.37606082e+02f,   1.25106491e+03f,
         2.06771487e+03f,   4.05235002e+03f,   1.12562647e+04f,
         1.01278427e+05f};

/*const*/ float dependence_on_rotangle [1000] = {
         1.01576491e+05f,   1.12677240e+04f,   4.05491384e+03f,
         2.06866339e+03f,   1.25136213e+03f,   8.37650525e+02f,
         5.99743424e+02f,   4.50479733e+02f,   3.50734294e+02f,
         2.80791755e+02f,   2.29869747e+02f,   1.91643617e+02f,
         1.62217007e+02f,   1.39115039e+02f,   1.20708698e+02f,
         1.05892178e+02f,   9.31291742e+01f,   8.28006950e+01f,
         7.41000723e+01f,   6.67032182e+01f,   6.03618750e+01f,
         5.48848795e+01f,   5.01217143e+01f,   4.59533583e+01f,
         4.22851842e+01f,   3.90401473e+01f,   3.61554900e+01f,
         3.35798342e+01f,   3.12704013e+01f,   2.91918280e+01f,
         2.73143607e+01f,   2.56128013e+01f,   2.40658936e+01f,
         2.26554828e+01f,   2.13659224e+01f,   2.01837956e+01f,
         1.90974360e+01f,   1.80969059e+01f,   1.71732868e+01f,
         1.63189425e+01f,   1.55270841e+01f,   1.47917971e+01f,
         1.41078270e+01f,   1.34704510e+01f,   1.28755560e+01f,
         1.23194656e+01f,   1.17987957e+01f,   1.13107327e+01f,
         1.08525536e+01f,   1.04218557e+01f,   1.00164808e+01f,
         9.63451165e+00f,   9.27415053e+00f,   8.93381945e+00f,
         8.61203995e+00f,   8.30747980e+00f,   8.01897195e+00f,
         7.74519553e+00f,   7.48556679e+00f,   7.23888831e+00f,
         7.00447311e+00f,   6.78126530e+00f,   6.56869009e+00f,
         6.36607138e+00f,   6.17280482e+00f,   5.98832852e+00f,
         5.81211106e+00f,   5.64367189e+00f,   5.48254554e+00f,
         5.32833287e+00f,   5.18057254e+00f,   5.03903498e+00f,
         4.90331525e+00f,   4.77310021e+00f,   4.64808474e+00f,
         4.52801246e+00f,   4.41262036e+00f,   4.30166576e+00f,
         4.19492514e+00f,   4.09219314e+00f,   3.99329808e+00f,
         3.89798498e+00f,   3.80612258e+00f,   3.71754540e+00f,
         3.63210600e+00f,   3.54963608e+00f,   3.47001231e+00f,
         3.39360645e+00f,   3.31899222e+00f,   3.24705058e+00f,
         3.17744651e+00f,   3.11023614e+00f,   3.04523232e+00f,
         2.98227345e+00f,   2.92133380e+00f,   2.86226926e+00f,
         2.80502905e+00f,   2.74955303e+00f,   2.69575359e+00f,
         2.64356937e+00f,   2.59294027e+00f,   2.54379984e+00f,
         2.49609228e+00f,   2.44976256e+00f,   2.40475245e+00f,
         2.36102217e+00f,   2.31851951e+00f,   2.27719337e+00f,
         2.23701029e+00f,   2.19792586e+00f,   2.15989967e+00f,
         2.12287608e+00f,   2.08685617e+00f,   2.05178703e+00f,
         2.01763682e+00f,   1.98436997e+00f,   1.95195941e+00f,
         1.92036738e+00f,   1.88957760e+00f,   1.85955472e+00f,
         1.83027706e+00f,   1.80171573e+00f,   1.77384409e+00f,
         1.74662800e+00f,   1.72008978e+00f,   1.69420326e+00f,
         1.66892006e+00f,   1.64422740e+00f,   1.62014214e+00f,
         1.59658100e+00f,   1.57356752e+00f,   1.55107788e+00f,
         1.52909736e+00f,   1.50761139e+00f,   1.48660296e+00f,
         1.46606072e+00f,   1.44597275e+00f,   1.42631720e+00f,
         1.40708987e+00f,   1.38827484e+00f,   1.36987124e+00f,
         1.35183572e+00f,   1.33419421e+00f,   1.31691703e+00f,
         1.30000124e+00f,   1.28344923e+00f,   1.26722310e+00f,
         1.25132463e+00f,   1.23574095e+00f,   1.22048001e+00f,
         1.20552684e+00f,   1.19087207e+00f,   1.17649990e+00f,
         1.16241584e+00f,   1.14855185e+00f,   1.13500310e+00f,
         1.12172649e+00f,   1.10869509e+00f,   1.09590730e+00f,
         1.08336065e+00f,   1.07104780e+00f,   1.05909659e+00f,
         1.04921593e+00f,   1.03546365e+00f,   1.02402637e+00f,
         1.01282241e+00f,   1.00180721e+00f,   9.90990352e-01f,
         9.80366642e-01f,   9.69932088e-01f,   9.59681612e-01f,
         9.49612744e-01f,   9.39719075e-01f,   9.29996186e-01f,
         9.20442594e-01f,   9.11053367e-01f,   9.01825538e-01f,
         8.92754887e-01f,   8.83837529e-01f,   8.75076804e-01f,
         8.66455574e-01f,   8.57978375e-01f,   8.49641787e-01f,
         8.41442154e-01f,   8.33377264e-01f,   8.25444195e-01f,
         8.17639356e-01f,   8.09960945e-01f,   8.02406171e-01f,
         7.94971879e-01f,   7.87656457e-01f,   7.80456076e-01f,
         7.73369876e-01f,   7.66394318e-01f,   7.59528156e-01f,
         7.52768345e-01f,   7.46114638e-01f,   7.39534546e-01f,
         7.33103499e-01f,   7.26749297e-01f,   7.20490950e-01f,
         7.14327287e-01f,   7.08256083e-01f,   7.02276059e-01f,
         6.96385131e-01f,   6.90579062e-01f,   6.84861572e-01f,
         6.79227854e-01f,   6.73676949e-01f,   6.68206766e-01f,
         6.62815813e-01f,   6.57503147e-01f,   6.52266985e-01f,
         6.47105640e-01f,   6.42018257e-01f,   6.37002494e-01f,
         6.32058408e-01f,   6.27183614e-01f,   6.22377349e-01f,
         6.17638098e-01f,   6.12964802e-01f,   6.08358244e-01f,
         6.03813493e-01f,   5.99331106e-01f,   5.94910091e-01f,
         5.90550364e-01f,   5.86248875e-01f,   5.82005815e-01f,
         5.77820133e-01f,   5.73691177e-01f,   5.69616429e-01f,
         5.65596948e-01f,   5.61630752e-01f,   5.57717792e-01f,
         5.53855721e-01f,   5.50044528e-01f,   5.46283193e-01f,
         5.42570972e-01f,   5.38907165e-01f,   5.35290770e-01f,
         5.31721095e-01f,   5.28197418e-01f,   5.24718994e-01f,
         5.21285079e-01f,   5.17894232e-01f,   5.14547336e-01f,
         5.11242746e-01f,   5.07979871e-01f,   5.04758126e-01f,
         5.01576775e-01f,   4.98435132e-01f,   4.95332569e-01f,
         4.92268752e-01f,   4.89242623e-01f,   4.86252938e-01f,
         4.83301149e-01f,   4.80384453e-01f,   4.77504772e-01f,
         4.74660304e-01f,   4.71850332e-01f,   4.69074515e-01f,
         4.66332412e-01f,   4.63623294e-01f,   4.60946863e-01f,
         4.58301868e-01f,   4.55689033e-01f,   4.53063835e-01f,
         4.50560996e-01f,   4.48039549e-01f,   4.45548299e-01f,
         4.43087001e-01f,   4.40654728e-01f,   4.38250980e-01f,
         4.35875499e-01f,   4.33527705e-01f,   4.31207318e-01f,
         4.28914070e-01f,   4.26648986e-01f,   4.24408535e-01f,
         4.22194028e-01f,   4.20005134e-01f,   4.17841293e-01f,
         4.15702136e-01f,   4.13587909e-01f,   4.11497895e-01f,
         4.09431572e-01f,   4.07388892e-01f,   4.05369912e-01f,
         4.03373219e-01f,   4.01399116e-01f,   3.99447707e-01f,
         3.97518030e-01f,   3.95610216e-01f,   3.93723800e-01f,
         3.91859031e-01f,   3.90012410e-01f,   3.88183511e-01f,
         3.86384636e-01f,   3.84602620e-01f,   3.82839328e-01f,
         3.81095733e-01f,   3.79372778e-01f,   3.77667632e-01f,
         3.75981302e-01f,   3.74313628e-01f,   3.72664257e-01f,
         3.71033264e-01f,   3.69420000e-01f,   3.67824307e-01f,
         3.66246439e-01f,   3.64685679e-01f,   3.63142123e-01f,
         3.61615586e-01f,   3.60105667e-01f,   3.58612545e-01f,
         3.57135702e-01f,   3.55675574e-01f,   3.54230357e-01f,
         3.52801172e-01f,   3.51387425e-01f,   3.49989026e-01f,
         3.48605992e-01f,   3.47237784e-01f,   3.45884444e-01f,
         3.44545988e-01f,   3.43221131e-01f,   3.41911341e-01f,
         3.40615788e-01f,   3.39334128e-01f,   3.38066116e-01f,
         3.36812412e-01f,   3.35571202e-01f,   3.34344635e-01f,
         3.33130552e-01f,   3.31930817e-01f,   3.30743112e-01f,
         3.29568537e-01f,   3.28406780e-01f,   3.27257551e-01f,
         3.26120701e-01f,   3.24996154e-01f,   3.23883812e-01f,
         3.22783487e-01f,   3.21695169e-01f,   3.20618746e-01f,
         3.19553865e-01f,   3.18500774e-01f,   3.17459003e-01f,
         3.16428666e-01f,   3.15409951e-01f,   3.14401345e-01f,
         3.13404191e-01f,   3.12417901e-01f,   3.11442440e-01f,
         3.10477645e-01f,   3.09523466e-01f,   3.08579638e-01f,
         3.07646108e-01f,   3.06722807e-01f,   3.05808396e-01f,
         3.04906689e-01f,   3.04016111e-01f,   3.03132097e-01f,
         3.02258966e-01f,   3.01395477e-01f,   3.00541633e-01f,
         2.99697314e-01f,   2.98862493e-01f,   2.98036851e-01f,
         2.97220841e-01f,   2.96413912e-01f,   2.95615923e-01f,
         2.94826994e-01f,   2.94047026e-01f,   2.93275807e-01f,
         2.92514320e-01f,   2.91760442e-01f,   2.91015639e-01f,
         2.90278631e-01f,   2.89550800e-01f,   2.88831346e-01f,
         2.88120337e-01f,   2.87417562e-01f,   2.86722948e-01f,
         2.86036575e-01f,   2.85358210e-01f,   2.84687953e-01f,
         2.84025342e-01f,   2.83370857e-01f,   2.82724237e-01f,
         2.82085449e-01f,   2.81454335e-01f,   2.80830851e-01f,
         2.80214913e-01f,   2.79606485e-01f,   2.79005675e-01f,
         2.78412490e-01f,   2.77826473e-01f,   2.77247716e-01f,
         2.76676257e-01f,   2.76112004e-01f,   2.75554873e-01f,
         2.75005263e-01f,   2.74462208e-01f,   2.73926276e-01f,
         2.73397254e-01f,   2.72875264e-01f,   2.72360210e-01f,
         2.71851923e-01f,   2.71350607e-01f,   2.70854532e-01f,
         2.70366540e-01f,   2.69884959e-01f,   2.69409988e-01f,
         2.68941570e-01f,   2.68479654e-01f,   2.68024349e-01f,
         2.67572588e-01f,   2.67134125e-01f,   2.66697361e-01f,
         2.66267002e-01f,   2.65843256e-01f,   2.65425757e-01f,
         2.65014633e-01f,   2.64609118e-01f,   2.64210808e-01f,
         2.63818080e-01f,   2.63431363e-01f,   2.63050688e-01f,
         2.62676128e-01f,   2.62307470e-01f,   2.61944652e-01f,
         2.61587889e-01f,   2.61236974e-01f,   2.60891884e-01f,
         2.60552623e-01f,   2.60219187e-01f,   2.59891522e-01f,
         2.59569641e-01f,   2.59253415e-01f,   2.58942882e-01f,
         2.58637990e-01f,   2.58338798e-01f,   2.58045141e-01f,
         2.57757090e-01f,   2.57474606e-01f,   2.57197624e-01f,
         2.56926188e-01f,   2.56660255e-01f,   2.56399729e-01f,
         2.56144712e-01f,   2.55895126e-01f,   2.55650940e-01f,
         2.55412104e-01f,   2.55178671e-01f,   2.54950557e-01f,
         2.54727814e-01f,   2.54510383e-01f,   2.54298226e-01f,
         2.54091369e-01f,   2.53889722e-01f,   2.53693351e-01f,
         2.53502212e-01f,   2.53316307e-01f,   2.53135581e-01f,
         2.52960072e-01f,   2.52789726e-01f,   2.52624517e-01f,
         2.52464421e-01f,   2.52309487e-01f,   2.52159660e-01f,
         2.52014933e-01f,   2.51875317e-01f,   2.51740746e-01f,
         2.51611407e-01f,   2.51487218e-01f,   2.51367876e-01f,
         2.51253526e-01f,   2.51144337e-01f,   2.51039803e-01f,
         2.50940531e-01f,   2.50846326e-01f,   2.50757024e-01f,
         2.50672849e-01f,   2.50593636e-01f,   2.50519617e-01f,
         2.50450341e-01f,   2.50385956e-01f,   2.50326602e-01f,
         2.50272225e-01f,   2.50222832e-01f,   2.50178380e-01f,
         2.50138859e-01f,   2.50104272e-01f,   2.50074677e-01f,
         2.50049970e-01f,   2.50030242e-01f,   2.50015425e-01f,
         2.50005586e-01f,   2.50000562e-01f,   2.50000581e-01f,
         2.50005575e-01f,   2.50015403e-01f,   2.50030347e-01f,
         2.50049997e-01f,   2.50074688e-01f,   2.50104305e-01f,
         2.50138855e-01f,   2.50178309e-01f,   2.50222844e-01f,
         2.50272257e-01f,   2.50326636e-01f,   2.50385942e-01f,
         2.50450260e-01f,   2.50519538e-01f,   2.50593770e-01f,
         2.50673007e-01f,   2.50757227e-01f,   2.50846443e-01f,
         2.50940623e-01f,   2.51039855e-01f,   2.51143998e-01f,
         2.51253314e-01f,   2.51367224e-01f,   2.51486446e-01f,
         2.51607410e-01f,   2.51742380e-01f,   2.51876003e-01f,
         2.52015088e-01f,   2.52159723e-01f,   2.52309579e-01f,
         2.52464311e-01f,   2.52624359e-01f,   2.52789589e-01f,
         2.52959945e-01f,   2.53135512e-01f,   2.53316158e-01f,
         2.53502095e-01f,   2.53693404e-01f,   2.53890328e-01f,
         2.54091679e-01f,   2.54298331e-01f,   2.54510432e-01f,
         2.54727774e-01f,   2.54950394e-01f,   2.55178459e-01f,
         2.55411869e-01f,   2.55650677e-01f,   2.55894929e-01f,
         2.56144454e-01f,   2.56399439e-01f,   2.56659925e-01f,
         2.56925871e-01f,   2.57197320e-01f,   2.57474275e-01f,
         2.57756775e-01f,   2.58044818e-01f,   2.58338486e-01f,
         2.58637734e-01f,   2.58942698e-01f,   2.59253194e-01f,
         2.59569381e-01f,   2.59891309e-01f,   2.60219001e-01f,
         2.60552443e-01f,   2.60891642e-01f,   2.61236804e-01f,
         2.61587777e-01f,   2.61944656e-01f,   2.62307442e-01f,
         2.62676120e-01f,   2.63050661e-01f,   2.63430885e-01f,
         2.63817613e-01f,   2.64210293e-01f,   2.64609066e-01f,
         2.65014119e-01f,   2.65425165e-01f,   2.65842618e-01f,
         2.66265879e-01f,   2.66695377e-01f,   2.67132076e-01f,
         2.67574730e-01f,   2.68023052e-01f,   2.68460376e-01f,
         2.68940147e-01f,   2.69408634e-01f,   2.69884731e-01f,
         2.70366270e-01f,   2.70854540e-01f,   2.71349384e-01f,
         2.71851162e-01f,   2.72359712e-01f,   2.72875041e-01f,
         2.73397194e-01f,   2.73926237e-01f,   2.74462256e-01f,
         2.75005180e-01f,   2.75555180e-01f,   2.76112284e-01f,
         2.76676534e-01f,   2.77247989e-01f,   2.77826715e-01f,
         2.78412548e-01f,   2.79005966e-01f,   2.79606857e-01f,
         2.80215097e-01f,   2.80830834e-01f,   2.81454093e-01f,
         2.82085172e-01f,   2.82724147e-01f,   2.83370235e-01f,
         2.84023151e-01f,   2.84687430e-01f,   2.85358096e-01f,
         2.86036644e-01f,   2.86722764e-01f,   2.87416851e-01f,
         2.88120088e-01f,   2.88831149e-01f,   2.89550727e-01f,
         2.90278499e-01f,   2.91014838e-01f,   2.91760020e-01f,
         2.92513649e-01f,   2.93275920e-01f,   2.94047030e-01f,
         2.94827645e-01f,   2.95616064e-01f,   2.96414006e-01f,
         2.97221981e-01f,   2.98037637e-01f,   2.98847538e-01f,
         2.99697492e-01f,   3.00541833e-01f,   3.01395623e-01f,
         3.02259070e-01f,   3.03132215e-01f,   3.04015008e-01f,
         3.04907846e-01f,   3.05810666e-01f,   3.06723589e-01f,
         3.07646971e-01f,   3.08580317e-01f,   3.09523980e-01f,
         3.10478059e-01f,   3.11443174e-01f,   3.12418650e-01f,
         3.13404969e-01f,   3.14402118e-01f,   3.15410211e-01f,
         3.16429488e-01f,   3.17460114e-01f,   3.18501985e-01f,
         3.19555292e-01f,   3.20620162e-01f,   3.21696744e-01f,
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